Long time existence for the semi-linear beam equation on irrational tori of dimension two
Langue
en
Article de revue
Ce document a été publié dans
Nonlinearity. 2016-10-01, vol. 29, n° 10, p. 3067-3102
IOP Publishing
Résumé en anglais
We prove a long time existence result for the semi-linear beam equation with small and smooth initial data. We use a regularizing effect of the structure of beam equations and a very weak separation property of the spectrum ...Lire la suite >
We prove a long time existence result for the semi-linear beam equation with small and smooth initial data. We use a regularizing effect of the structure of beam equations and a very weak separation property of the spectrum of an irrational torus under a Diophantine assumption on the radius. Our approach is inspired from a paper by Zhang about the Klein-Gordon equation with a quadratic potential.< Réduire
Mots clés en anglais
beam equation
Klein-Gordon equation
normal form
irrational torus
Origine
Importé de halUnités de recherche